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5006148 = 223761977
BaseRepresentation
bin10011000110001101000100
3100102100010220
4103012031010
52240144043
6255144340
760360120
oct23061504
910370126
105006148
11290a214
1218150b0
131063824
14944580
1568d483
hex4c6344

5006148 has 48 divisors (see below), whose sum is σ = 13582464. Its totient is φ = 1405440.

The previous prime is 5006147. The next prime is 5006149. The reversal of 5006148 is 8416005.

It is an interprime number because it is at equal distance from previous prime (5006147) and next prime (5006149).

It is not an unprimeable number, because it can be changed into a prime (5006147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4636 + ... + 5612.

It is an arithmetic number, because the mean of its divisors is an integer number (282968).

Almost surely, 25006148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5006148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6791232).

5006148 is an abundant number, since it is smaller than the sum of its proper divisors (8576316).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5006148 is a wasteful number, since it uses less digits than its factorization.

5006148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 5006148 is about 2237.4422897586. The cubic root of 5006148 is about 171.0676521754.

The spelling of 5006148 in words is "five million, six thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 122 183 244 366 427 732 854 977 1281 1708 1954 2562 2931 3908 5124 5862 6839 11724 13678 20517 27356 41034 59597 82068 119194 178791 238388 357582 417179 715164 834358 1251537 1668716 2503074 5006148